Find the amplitude (if one exists), period, and phase shift of the following function. Graph the function. Be sure to label key points. Show at least two periods. \( y=3 \tan (6 x-\pi) \) What is the amplitude of \( y=3 \tan (6 x-\pi) \) ? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an integer or a fraction.) B. The amplitude does not exist. The period of \( y=3 \) tan \( (6 x-\pi) \) is (Simplify your answer. Type an exact answer, using \( \pi \) as needed. Use integers or fractions for any numbers in the expression.)

\( 4tanx-ctgx=0 \)

- Convertir \( 45.3245^{\circ} \) a grados minutos y segundos

The angle of elevation of the Sun is \( 33.1^{\circ} \) at the instant the shadow cast by a monument is 720 feet long. Use this information to calculate the height of the monument. The height of the monument is \( \square \mathrm{ft} \). (Round to two decimal places as needed.)

4. Solve \( \sin 2 x=\cos x-\cos 2 x \) algebraically. Give your answer as a general solution, in degrees.

th Sketching the Graph of a Trigonometric Function hs In Exercises 15-38, sketch the graph of the function. (Include two full periods.) \( \begin{array}{ll}\text { 15. } y=\frac{1}{3} \tan x & \text { 16. } y=\tan 4 x \\ \text { 17. } y=-2 \tan 3 x & \text { 18. } y=-3 \tan \pi x \\ \text { 19. } y=-\frac{1}{2} \sec x & \text { 20. } y=\frac{1}{4} \sec x \\ \text { 21. } y=\csc \pi x & \text { 22. } y=3 \csc 4 x\end{array} \)